Search a number
-
+
996411936 = 25313978231
BaseRepresentation
bin111011011001000…
…000101000100000
32120102220222012210
4323121000220200
54020040140221
6242512322120
733456235032
oct7331005040
92512828183
10996411936
114714a3043
12239843340
1312b581c80
1496495c52
155c723276
hex3b640a20

996411936 has 96 divisors (see below), whose sum is σ = 2846164608. Its totient is φ = 303390720.

The previous prime is 996411919. The next prime is 996411937. The reversal of 996411936 is 639114699.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (996411937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116941 + ... + 125171.

It is an arithmetic number, because the mean of its divisors is an integer number (29647548).

Almost surely, 2996411936 is an apocalyptic number.

996411936 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996411936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423082304).

996411936 is an abundant number, since it is smaller than the sum of its proper divisors (1849752672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

996411936 is a wasteful number, since it uses less digits than its factorization.

996411936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8354 (or 8346 counting only the distinct ones).

The product of its digits is 314928, while the sum is 48.

The square root of 996411936 is about 31565.9933472717. The cubic root of 996411936 is about 998.8025453413.

The spelling of 996411936 in words is "nine hundred ninety-six million, four hundred eleven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 97 104 156 194 208 291 312 388 416 582 624 776 1164 1248 1261 1552 2328 2522 3104 3783 4656 5044 7566 8231 9312 10088 15132 16462 20176 24693 30264 32924 40352 49386 60528 65848 98772 107003 121056 131696 197544 214006 263392 321009 395088 428012 642018 790176 798407 856024 1284036 1596814 1712048 2395221 2568072 3193628 3424096 4790442 5136144 6387256 9580884 10272288 10379291 12774512 19161768 20758582 25549024 31137873 38323536 41517164 62275746 76647072 83034328 124551492 166068656 249102984 332137312 498205968 996411936